Desperate extremities at Chester and elsewhere (3)
I believe the answer is:
dee
'desperate extremities at' is the definition.
The definition suggests a singular noun which matches the answer.
I don't understand how the remainder of the clue works.
Can you help me to learn more?
(Other definitions for dee that I've seen before include "John ---, Elizabethan mage" , "Welsh/English river" , "Name of many rivers" , "River name" , "Chester's river" .)